Finding the Third Proportional to 119,214 and 257,787
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Solution
The third proportional to 119,214 and 257,787 is: 557,435.68
Step by Step Solution
- Step 1: Write the proportion equation
119,214 : 257,787 = 257,787 : x - Step 2: Convert to fraction form
119,214/257,787 = 257,787/x - Step 3: Cross multiply
119,214x = 257,787 × 257,787 - Step 4: Simplify right side
119,214x = 66,454,137,369 - Step 5: Solve for x
x = 66,454,137,369/119,214 - Step 6: Final answer
x = 557,435.68
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.